Answer to Question #41348 in Mechanics | Relativity for promise

Question

The position of a particle along the x-axis depends on the time according to the equation according to the
at2−bT3
, where x is in metres and t in seconds. What are the dimensions of and units of a and b?
a. LT−2
,
m=s2
;
LT−3
,
m=s3

b. LT2
,
m=s−2
;
LT3
,
m=s−3

c. L−1T−2
,
m−1=s2
;
LT−3
,
m=s3

d. LT−2
,
m=s2
;
L−2T−3
,
m−2=s3